SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Indiana University Mathematics Journal

Volumn 55, Issue 4, 2006, Pages 1401-1422

Improved Rellich inequalities for the polyharmonic operator

(1) Barbatis, G a

a UNIVERSITY OF IOANNINA (Greece)

Author keywords

Distance to the boundary; Hardy Rellich inequality; Polyharmonic operator; Sharp constants

Indexed keywords

EID: 33845495449 PISSN: 00222518 EISSN: None Source Type: Journal
DOI: 10.1512/iumj.2006.55.2752 Document Type: Article

Times cited : (24)

References (14)

1
- 0037724265
- Series expansion for LP Hardy Inequalities
- MR 1970026 (2005b:46066)
- G. BARBATIS, S. FILIPPAS, and A. TERTIKAS, Series expansion for LP Hardy Inequalities, Indiana Univ. Math. J. 52 (2003), 171-190, http://dx.doi.org/10. 1512/iumj.2003.52.2207. MR 1970026 (2005b:46066)
- (2003) Indiana Univ. Math. J. , vol.52 , pp. 171-190
- Barbatis, G.¹ Filippas, S.² Tertikas, A.³

2
- 0442323027
- p Hardy inequalities
- MR 2030561 (2005a:26015)
- p Hardy inequalities, Commun. Contemp. Math. 5 (2003), 869-881, http://dx.doi.org/10.1142/S0219199703001166. MR 2030561 (2005a:26015)
- (2003) Commun. Contemp. Math. , vol.5 , pp. 869-881

3
- 33646374148
- On a class of Rellich inequalities
- G. BARBATIS and A. TERTIKAS, On a class of Rellich inequalities, J. Comp. Appl. Math. 194 (2006), 156-172.
- (2006) J. Comp. Appl. Math. , vol.194 , pp. 156-172
- Barbatis, G.¹ Tertikas, A.²

4
- 85129231096
- Hardy's inequalities revisited
- MR 1655516 (99m:46075)
- HAİM BREZIS and MOSHE MARCUS, Hardy's inequalities revisited, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 (1997), 217-237 (1998). MR 1655516 (99m:46075)
- (1997) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.25 , Issue.4 , pp. 217-237
- Brezis, H.¹ Marcus, M.²

5
- 0001958835
- A review of Hardy inequalities
- Birkhäuser, Basel. MR 1747888 (2001f:35166)
- E. B. DAVIES, A review of Hardy inequalities, Proc. The Maz'ya Anniversary Collection, Vol. 2, Rostock, 1998, Oper. Theory Adv. Appl., vol. 110, Birkhäuser, Basel, 1999, pp. 55-67. MR 1747888 (2001f:35166)
- (1999) Proc. the Maz'ya Anniversary Collection, Vol. 2, Rostock, 1998, Oper. Theory Adv. Appl. , vol.110 , pp. 55-67
- Davies, E.B.¹

6
- 4944266704
- Sharp Hardy-Sobolev inequalities
- MR 2099546 (2005g:26025) (English, with English and French summaries)
- S. FILIPPAS, V. G. MAZ'YA, and A. TERTIKAS, Sharp Hardy-Sobolev inequalities, C. R. Math. Acad. Sci. Paris 339 (2004), 483-86. MR 2099546 (2005g:26025) (English, with English and French summaries)
- (2004) C. R. Math. Acad. Sci. Paris , vol.339 , pp. 483-486
- Filippas, S.¹ Maz'Ya, V.G.² Tertikas, A.³

7
- 33644531274
- On a question of Brezis and Marcus
- MR 2214621
- S. FILIPPAS, V. MAZ'YA, and A. TERTIKAS, On a question of Brezis and Marcus, Calc. Var. Partial Differential Equations 25 (2006), 491-501, http://dx.doi.org/10.1007/s00526-005-0353-6. MR 2214621
- (2006) Calc. Var. Partial Differential Equations , vol.25 , pp. 491-501
- Filippas, S.¹ Maz'Ya, V.² Tertikas, A.³

8
- 0037051205
- A geometrical version of Hardy's inequality
- MR 1892180 (2003c:26022)
- M. HOFFMANN-OSTENHOF, T. HOFFMANN-OSTENHOF, and A. LAPTEV, A geometrical version of Hardy's inequality, J. Funct. Anal. 189 (2002), 539-548, http://dx.doi.org/10.1006/jfan.2001.3859. MR 1892180 (2003c:26022)
- (2002) J. Funct. Anal. , vol.189 , pp. 539-548
- Hoffmann-Ostenhof, M.¹ Hoffmann-Ostenhof, T.² Laptev, A.³

9
- 10244245453
- The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
- MR 2094267 (2005k:35042)
- YANYAN LI and LOUIS NIRENBERG, The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations, Comm. Pure Appl. Math. 58 (2005), 85-146, http://dx.doi.org/10.1002/cpa.20051. MR 2094267 (2005k:35042)
- (2005) Comm. Pure Appl. Math. , vol.58 , pp. 85-146
- Yanyan, L.I.¹ Nirenberg, L.²

10
- 22044435246
- n
- MR 1458330 (98k:26035)
- n, Trans. Amer. Math. Soc. 350 (1998), 3237-3255, http://dx.doi.org/10.1090/S0002-9947-98-02122-9. MR 1458330 (98k:26035)
- (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 3237-3255
- Marcus, M.¹ Mizel, V.J.² Pinchover, Y.³

11
- 0003796632
- Sobolev Spaces
- Springer-Verlag, Berlin, ISBN 3-540-13589-8, Translated from the Russian by T. O. Shaposhnikova. MR 817985 (87g:46056)
- VLADIMIR G. MAZ'JA, Sobolev Spaces, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1985, ISBN 3-540-13589-8, Translated from the Russian by T. O. Shaposhnikova. MR 817985 (87g:46056)
- (1985) Springer Series in Soviet Mathematics
- Maz'ja, V.G.¹

12
- 22644449715
- The Hardy-Rellich inequality for polyharmonic operators
- MR 1718522 (2000j:35210)
- MARK P. OWEN, The Hardy-Rellich inequality for polyharmonic operators, Proc. Roy. Soc. Edinburgh Sect. A 129 (1999), 825-839. MR 1718522 (2000j:35210)
- (1999) Proc. Roy. Soc. Edinburgh Sect. A , vol.129 , pp. 825-839
- Owen, M.P.¹

13
- 3142656859
- 1,p (Ω)
- (electronic). MR 2052402 (2005f:26068)
- 1,p (Ω), Proc. Amer. Math. Soc. 132 (2004), 2265-2271 (electronic), http://dx.doi.org/10.1090/S0002-9939-04-07526-4. MR 2052402 (2005f:26068)
- (2004) Proc. Amer. Math. Soc. , vol.132 , pp. 2265-2271
- Tidblom, J.¹

14
- 14644425386
- A Hardy inequality in the half-space
- MR 2124873 (2005k:26064)
- -, A Hardy inequality in the half-space, J. Funct. Anal. 221 (2005), 482-495, http://dx.doi.org/10.1016/j.jfa.2004.09.014. MR 2124873 (2005k:26064)
- (2005) J. Funct. Anal. , vol.221 , pp. 482-495

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.